Open AccessLaws of large numbers for infinite means with mixing sequences
Author(s) -
Jian Han,
Xiaoqin Li,
Yudan Cheng
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2103783h
Subject(s) - mathematics , law of large numbers , mixing (physics) , law , cauchy distribution , random variable , mathematical analysis , statistical physics , statistics , physics , quantum mechanics , political science
In this paper, we consider the laws of large numbers with infinite means based on ?-mixing sequences. An exact weak law and a strong law are obtained for ?-mixing asymmetrical Cauchy random variables. It is also presented that the weak law cannot extend to a strong law. In addition, some simulations are presented to illustrate our results of the laws of large numbers.